I am reading about group representations, and books I read all contain the representation theory for symmetric groups $S_d$. However none of them presents the material in a friendly way. After reading them, I felt quite dazzled by the brilliance of the arguments (Young frames, Frobenius formular for characters, etc.) but do not really feel they deepened my understanding of group representations.
I know Cayley's theorem gives some theoretical importance to the representations of $S_d$. But what should I take from them indeed? What should I learn from the arguments? Do they really teach us something deep/ general?
Thanks!